document.write( "Question 977039: The time required to assemble a piece of machinery is a random variable having
\n" ); document.write( "approximately a normal distribution with = 13.2 minutes and = 3.0 minutes. What are
\n" ); document.write( "the probabilities that the assembly of a piece of machinery of this kind will take
\n" ); document.write( "(i) at least 11.1 minutes
\n" ); document.write( "(ii) anywhere from 10.35 to 16.05 minutes?
\n" ); document.write( "(iii) at most 15.92 minutes \n" ); document.write( "
Algebra.Com's Answer #598529 by stanbon(75887)\"\" \"About 
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The time required to assemble a piece of machinery is a random variable having
\n" ); document.write( "approximately a normal distribution with mean = 13.2 minutes and std = 3.0 minutes.
\n" ); document.write( "What are the probabilities that the assembly of a piece of machinery of this kind will take
\n" ); document.write( "(i) at least 11.1 minutes
\n" ); document.write( "z(11.1) = (11.1-13.2)/3 = -2.1/3 = -0.7
\n" ); document.write( "P(x >= 11.1) = P(z >= -0.7) = normalcdf(-0.7,100) = 0.7580
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\n" ); document.write( "\n" ); document.write( "(ii) anywhere from 10.35 to 16.05 minutes?
\n" ); document.write( "Find the z-value and determine the propability between them.
\n" ); document.write( "Ans normalcdf(10.35,16.05,13.2,3) = 0.6579
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\n" ); document.write( "(iii) at most 15.92 minutes
\n" ); document.write( "Ans: normalcdf(-100,15.92,13.2,3) = 0,8177
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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